Có bao nhiêu hàm đơn ánh từ tập $\{a,b,c\}$ đến tập $\{1,2,3,4,5\}$?

[tex]You can call c the number of children and a for adults; you get:5.20c+8.50a=1097.60anda=4c meaning that the number of adults was four times the children.Substituting this value of a into the first equation we get:5.2c+8.5(4c)=1097.65.2c+34c=1097.6rearranging:c=1097.639.2=28and so:a=4c=4⋅28=112[/tex]

I got:  28  children and  112  adults.

Answer: -8

Step-by-step explanation: So we after simplification we get

[(2/5) - (1/2) + (3/5)+ (7/2)] - [(3/5)/(1/4) - (1/5)]

After this I suppose it's just addition & subtraction, and can be easily done to get -8.

Answer:

B i think

Step-by-step explanation:

Answer:

The number of ways of selecting the team is 26,400 ways.

Step-by-step explanation:

Given;

total number boys in the gym, b = 10 boys

total number of girls in the gym, g = 12 girls

number of team to be selected, n = 6

If there must equal number of boys and girls in the team, then the team must consist of 3 boys and 3 girls.

Number of ways of choosing 3 boys from the total of 10 = [tex]10_C_3[/tex]

Number of ways of choosing 3 girls from a total of 12 = [tex]12_C_3[/tex]

The number of ways of combining the two possibilities;

[tex]n = 10_C_3 \times 12_C_3\\\\n = \frac{10!}{7!3!} \ \times \ \frac{12!}{9!3!} \\\\n = \frac{10\times 9 \times 8}{3\times 2} \ \times \ \frac{12\times 11 \times 10}{3\times 2} \\\\n = 120 \times 220\\\\n = 26,400 \ ways[/tex]

Therefore, the number of ways of selecting the team is 26,400 ways.

Answer:

Step-by-step explanation:

Combination of 4 out of 5 + 7 = 12 is:

Combination of 1 man and 3 women is:

Required probability:

Correct choice is B

Answer:

The correct answer is A. 9.4 inches.

Step-by-step explanation:

Given that the volume of a boys' basketball is 434 cubic inches, and Dan would like to get a ball with half the volume for his son, to determine what is the diameter of the ball that Dan will buy for his son, the following calculation has to be done, knowing that the volume of a sphere is four thirds multiplied by pi multiplied by the radius cubed:

4/3 x 3.14 x X ^ 3 = 434

4.186 x X ^ 3 = 434

X ^ 3 = 434 / 4.186

X = 3√ 103.662

X = 4.7

In turn, since the radius of a sphere is equal to half its diameter, the diameter of the basketball is 9.4 inches (4.7 x 2).

JK=JM

[tex] \\ \sf \longmapsto \: x + 5 = 2x - 7 \\ \\ \sf \longmapsto \: x - 2x = - 7 - 5 \\ \\ \sf \longmapsto \: - x = - 12 \\ \\ \sf \longmapsto \: x = 12[/tex]

Answer:

please someone help me with my latest question

Answer:

41 units

Step-by-step explanation:

Its the reflection the length are same

9514 1404 393

Answer:

  7.0 cm

Step-by-step explanation:

The relationship between radius and area of a sphere is ...

  A = 4πr²

Then the radius as a function of area is ...

  r = √(A/(4π)) = (√(A/π))/2

For an area of 616 cm², the corresponding radius is ...

  r = (√(616/π))/2 ≈ 7.0 cm . . . . radius of the orange

Hope you could understand.

If you have any query, feel free to ask.

Answer:

vertical line

Step-by-step explanation:

because horizontal means horizon which goes left to right across a board

Hi there!

The y-intercept of a line represents its initial value. On a graph, the y-intercept would represent the value of y when the line crosses the y-axis.

For example, if an equation were to model the amount of money someone had in their bank account overtime starting from the day they opened their account, the y-intercept would represent the original amount of money they had.

I hope this helps!

Answer:

The solutions are w=0 ,7

Step-by-step explanation:

3w^2 – 21w = 0

Factor out 3w

3w(w-7) =0

Using the zero product property

3w=0  w-7=0

w =0    w=7

The solutions are w=0 ,7

Answer:

3.39794000867

Step-by-step explanation:

first add log 125 and 625 and divide the answer by log 25 and minus the answer by 5

Answer:

The answer is 7.

Answer:

The confidence interval for the population variance of the thicknesses of all aluminum sheets in this factory is Lower limit = 2.30, Upper limit = 4.83.

Step-by-step explanation:

The confidence interval for population variance is given as below:

[tex][(n - 1)\times S^{2} / X^{2} \alpha/2, n-1 ] < \alpha < [(n- 1)\times S^{2} / X^{2} 1- \alpha/2, n- 1 ][/tex]

We are given

Confidence level = 98%

Sample size = n = 81

Degrees of freedom = n – 1 = 80

Sample Variance = S^2 = 3.23

[tex]X^{2}_{[\alpha/2, n - 1]} = 112.3288\\\X^{2} _{1 -\alpha/2,n- 1} = 53.5401[/tex]

(By using chi-square table)

[(n – 1)*S^2 / X^2 α/2, n– 1 ] < σ^2 < [(n – 1)*S^2 / X^2 1 -α/2, n– 1 ]

[(81 – 1)* 3.23 / 112.3288] < σ^2 < [(81 – 1)* 3.23/ 53.5401]

2.3004 < σ^2 < 4.8263

Lower limit = 2.30

Upper limit = 4.83.

Answer:

x-intercept: (3,0)

y-intercept: (0,-4)

Step-by-step explanation:

To find the x and y-intercepts, we first need to understand what they are. X and y-intercepts are points on the line that passes through the x-axis and y-axis. When a point is an x-intercept, it passes through the x-axis. This means the x-coordinate is an integer, while the y-coordinate is always 0. This can be denoted by (x,0). When a point is a y-intercept, it passes through the y-axis. This means the y-coordinate is an integer, while the x-coordinate is always 0. This can be denoted by (0,y).

Now that we know what x and y-intercepts are, we can plug in x=0 and y=0 to find the intercepts.

x-intercept

4x-3y=12            [plug in y=0]

4x-3(0)=12          [multiply]

4x-0=12              [add both sides by 0]

4x=12                 [divide both sides by 4]

x=3

---------------------------------------------------------------------------------------------------------

y-intercept

4x-3y=12            [plug in x=0]

4(0)-3y=12         [multiply]

0-3y=12             [subtract both sides by 0]

-3y=12               [divide both sides by -3]

y=-4

Therefore, the x-intercept is (3,0) and y-intercept is (0,-4).

Answer:

C: [tex]\frac{7x}{4} + 5y[/tex]

Step-by-step explanation:

1. Realize that 12 inches is 1 feet and 36 inches is 1 yard.

2. Multiply it so that both are inches.

[tex]\frac{5y}{12} * 12 = 5y[/tex]

[tex]\frac{7x}{144} * 36 = \frac{7x}{4}[/tex]

3. Add together [tex]\frac{7x}{4} + 5y[/tex]

Answer:

C.

Step-by-step explanation:

I also recommend to just search these things on the internet. it would be much faster.

1 ft = 12 in

1 yd = 3 ft = 3×12 = 36 in

so, we need to multiply a given number of ft by 12, and a given number of yards by 36 to get the inches.

5y/12 × 12 = 5y

7x/144 × 36 = 7x/4

that is all there is to it.

Answer:

a = -6

b = 1

Step-by-step explanation:

The gradient of the tangent to the curve y = ax + bx^3, will be:

dy/dx = a + 3bx²

at (2, -4)

dy/dx = a+3b(2)²

dy/dx = a+12b

Since the gradient at the point is 6, then;

a+12b = 6 ....1

Substitute x = 2 and  y = -4 into the original expression

-4 = 2a + 8b

a + 4b = -2 ...2

a+12b = 6 ....1

Subtract

4b - 12b = -2-6

-8b = -8

b = -8/-8

b = 1

Substitute b = 1 into equation 1

Recall from 1 that a+12b = 6

a+12(1) = 6

a = 6 - 12

a = -6

Hence a = -6, b = 1

Answer:

Step-by-step explanation: you got trolded

Answer:

D. x = 4,  y = 4, z = 2

Step-by-step explanation

Plugged in given answers as trying to substitute is impossible, already tried all combinations

Answer:

4-12x

Step-by-step explanation:

-6 ×(-2/3 + 2x)

2 × 2-12x=

4-12x

Answer:

-2/5 (3x-10z)

Step-by-step explanation:

Answer:

Step-by-step explanation:

The description is too ambiguous to reconstruct the diagram. You need to post the actual diagram.

That diagram is just one way to view division by a fraction. An easier way: DIVIDING by a fraction is the same as MULTIPLYING by the upside-down fraction. For example,

(1/2) ÷ (1/4) = (1/2) × (4/1) = 2

That doesn’t help you answer this particular question, though.

Answer:

C

Step-by-step explanation:

Answer: 30cm

Step-by-step explanation:

The area of a rectangle is determined by length times width

Equation: A=LW

10cm×3cm = 30cm

Step-by-step explanation:

here's the answer to your question

Answer: Distance = 11

Step-by-step explanation:

Concept:

Here, we need to know the idea of the distance formula.

The distance formula is the formula, which is used to find the distance between any two points.

If you are still confused, please refer to the attachment below for a clear version of the formula.

Solve:

Find the distance between A and B, where:

[tex]Distance=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

[tex]Distance=\sqrt{(4+7)^2+(-4+4)^2}[/tex]

[tex]Distance=\sqrt{(11)^2+(0)^2}[/tex]

[tex]Distance=\sqrt{121+0}[/tex]

[tex]Distance=\sqrt{121}[/tex]

[tex]Distance=11[/tex]

Hope this helps!! :)

Please let me know if you have any questions

Answer:

c. [tex]\frac{334}{365}[/tex]

Step-by-step explanation:

May has 31 days and a normal year is 365 days, so the probability is [tex]\frac{31}{365}[/tex]

The probability that isn't in May is: 1 - [tex]\frac{31}{365}[/tex] = [tex]\frac{334}{365}[/tex]

Given:

The expression is:

[tex]4\log_{\frac{1}{2}}w+(2\log_{\frac{1}{2}}u-3\log_{\frac{1}{2}}v)[/tex]

To find:

The single logarithm for the given expression.

Solution:

We have,

[tex]4\log_{\frac{1}{2}}w+(2\log_{\frac{1}{2}}u-3\log_{\frac{1}{2}}v)[/tex]

It can be written as:

[tex]=\log_{\frac{1}{2}}w^4+(\log_{\frac{1}{2}}u^2-\log_{\frac{1}{2}}v^3)[/tex]       [tex][\because \log a^b=b\log a][/tex]

[tex]=\log_{\frac{1}{2}}w^4+\log_{\frac{1}{2}}\dfrac{u^2}{v^3}[/tex]       [tex][\because \log \dfrac{a}{b}=\log a-\log b][/tex]

[tex]=\log_{\frac{1}{2}}\left(w^4\times \dfrac{u^2}{v^3}\right)[/tex]      [tex][\because \log ab=\log a+\log b][/tex]

[tex]=\log_{\frac{1}{2}}\dfrac{w^4u^2}{v^3}[/tex]

Therefore, the correct option is B.

Answer:

The answer is B :))

Step-by-step explanation:

Answer:

If you are using a calculator, simply enter 45÷100×200 which will give you 90 as the answer.

Mark me brainliest plz.

Given:

The vertices of a parallelogram are P(1,2,1), Q(1,0,-1), R(2,2,0).

PQ and PR are the adjacent sides of the parallelogram.

To find:

The coordinates of vertex S.

Solution:

We know that, the diagonals of a parallelogram bisect each other.

Let the coordinates of the vertex S are (a,b,c).

In the given parallelogram PS and QR are the diagonals. It means their midpoints are same.

[tex]\left(\dfrac{1+a}{2},\dfrac{2+b}{2},\dfrac{1+c}{2}\right)=\left(\dfrac{1+2}{2},\dfrac{0+2}{2},\dfrac{-1+0}{2}\right)[/tex]

[tex]\left(\dfrac{1+a}{2},\dfrac{2+b}{2},\dfrac{1+c}{2}\right)=\left(\dfrac{3}{2},\dfrac{2}{2},\dfrac{-1}{2}\right)[/tex]

On comparing both sides, we get

[tex]\dfrac{1+a}{2}=\dfrac{3}{2}[/tex]

[tex]1+a=3[/tex]

[tex]a=3-1[/tex]

[tex]a=2[/tex]

Similarly,

[tex]\dfrac{2+b}{2}=\dfrac{2}{2}[/tex]

[tex]2+b=2[/tex]

[tex]b=2-2[/tex]

[tex]b=0[/tex]

And,

[tex]\dfrac{1+c}{2}=\dfrac{-1}{2}[/tex]

[tex]1+c=-1[/tex]

[tex]c=-1-1[/tex]

[tex]c=-2[/tex]

Therefore, the coordinates of vertex S are (2,0,-2).

Answer:

=$45

Step-by-step explanation:

$18=40%

18÷4=4.5

$4.5=10%

4.5×10=45

$45=100%

Answer:

im not sure but i think the answer is C) y = 2(x - 6)^2 + 5

The equation models the same quadratic relationship as function f(x) = 2x^2 - 12x + 11 will be 2(x-3)²-7.Option B is correct.

An equation is a statement that two expressions, which include variables and/or numbers, are equal. In essence, equations are questions, and efforts to systematically find solutions to these questions have been the driving forces behind the creation of mathematics.

It is given that, the function is,

f(x) = 2x^2 - 12x + 11

We have to find the equation models the same quadratic relationship as the given function,

⇒2x²-12x+11

Take common 2 in the complete equation,

⇒2(x²-6x+11/2)

Add and subtract 9 from the complete equation,

⇒2(x²-6x+9-9+11/2)

Rearrange the equation as,

⇒2[(x-3)²-(7/2)]

⇒2(x-3)²-7

Thus, the equation models the same quadratic relationship as function f(x) = 2x^2 - 12x + 11 will be 2(x-3)²-7.Option B is correct.

Learn more about the equation here,

https://brainly.com/question/10413253

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